is 2 2099771 - 1
has 632095 decimal digits
takes 0.138 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26714.151067.1642 %500000150000000.12305.1531 %14.274068.8562 %
Target2620.292664.5161 %90007000000.00441.4016 %0.297065.0135 %
Difference+5+13.8584+2.6481 %+491000+14300000+0.1185+3.7515%+13.9770+3.8428 %

Known prime factors (2 factors, 103.2 bits, 0.00491364% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
20997714199543722.0021
1
-112.662e-139.534e-81.940e-7
209977127266352527925309891989692581.173649269671024252404
22 × 7 × 292 × 131 × 179 × 617 × 1123 × 1697
2016-01-2511231697294,0130.00010.0002

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-01-25alpertronManual testing500000150000001222581.1730.1238.229%


Trial Factoring results:
5758596061626364656667
No TF results for M2099771


ECM factoring results:
Total ECM effort:9.507 GHz-days
Estimated T-Level:21.880
DigitsB1CompleteFacMiss
20110004.0301.777%
25500000.37668.665%
302500000.02497.637%
3510000000.00199.888%


ECM Summary

B1B2factorcurvesGHz-days
500005000000131.113
50000575979770.633
50000675000070.681
50000686030470.686
50000700000070.693
500007150000575.701


Lucas-Lehmer results:
No L-L results for M2099771


PRP results:
dateuseridcompidcofactorsres64
2017-09-30alpertronManual testing
2726635252792530989198969
4199543
71F311A8AE34FF38
2017-10-21Oliver KruseGTX-1
4199543
2726635252792530989198969
71F311A8AE34FF38


CERT results:
No CERT results for M2099771


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
TF factor-bounds graph:
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=21.88 ~= 56-bit
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270
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290
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Last modified: 2024-03-13T02:15:48+00:00